What is the Greatest Common Factor of 20429 and 20437?

Greatest common factor (GCF) of 20429 and 20437 is 1.

GCF(20429,20437) = 1

We will now calculate the prime factors of 20429 and 20437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20429 and 20437.

How to find the GCF of 20429 and 20437?

We will first find the prime factorization of 20429 and 20437. After we will calculate the factors of 20429 and 20437 and find the biggest common factor number .

Step-1: Prime Factorization of 20429

Prime factors of 20429 are 31, 659. Prime factorization of 20429 in exponential form is:

20429 = 31¹ × 659¹

Step-2: Prime Factorization of 20437

Prime factors of 20437 are 107, 191. Prime factorization of 20437 in exponential form is:

20437 = 107¹ × 191¹

Step-3: Factors of 20429

List of positive integer factors of 20429 that divides 20429 without a remainder.

1, 31, 659

Step-4: Factors of 20437

List of positive integer factors of 20437 that divides 20429 without a remainder.

1, 107, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20429 and 20437. The biggest common factor number is the GCF number.
So the greatest common factor 20429 and 20437 is 1.

Also check out the Least Common Multiple of 20429 and 20437